Abstract
The lattice Boltzmann method (LBM) gives unphysical results, in particular, near the wall boundary when arrangement between the wall and the lattice is asymmetric. The authors proposed a method which made set of the lattice velocities rotate randomly at every time step on each lattice node to overcome the problem. This method holds mass, momentum and Boltzmann's H-function conserved for distribution functions of each lattice velocity size, and thereby it can be applied only to the 2-dimensional 9-velocity (D2Q9) model. In a present report, this method is applied to the other model with an appropriate division of the mass conservation and it is shown that it works but keeps a problem of giving inaccurate flow properties observed in the D2Q9 version. However, if one selects the collision frequency of unity, the precise results, which agrees with previous results very well, can be obtained with this method.
